Bass' NK groups and cdh-fibrant Hochschild homology

The K-theory of a polynomial ring R[t] contains the K-theory of R as a summand. For R commutative and containing ℚ, we describe K*(R[t])/K*(R) in terms of Hochschild homology and the cohomology of Kähler differentials for the cdh topology. We use this to address Bass' question, whether Kn(R)=Kn...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: Cortiñas, Guillermo Horacio
Publicado: 2010
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00209910_v181_n2_p421_Cortinas
http://hdl.handle.net/20.500.12110/paper_00209910_v181_n2_p421_Cortinas
Aporte de:
id paper:paper_00209910_v181_n2_p421_Cortinas
record_format dspace
spelling paper:paper_00209910_v181_n2_p421_Cortinas2023-06-08T14:42:01Z Bass' NK groups and cdh-fibrant Hochschild homology Cortiñas, Guillermo Horacio The K-theory of a polynomial ring R[t] contains the K-theory of R as a summand. For R commutative and containing ℚ, we describe K*(R[t])/K*(R) in terms of Hochschild homology and the cohomology of Kähler differentials for the cdh topology. We use this to address Bass' question, whether Kn(R)=Kn(R[t]) implies Kn(R)=Kn(R[t1,t2]). The answer to this question is affirmative when R is essentially of finite type over the complex numbers, but negative in general. © 2010 The Author(s). Fil:Cortiñas, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00209910_v181_n2_p421_Cortinas http://hdl.handle.net/20.500.12110/paper_00209910_v181_n2_p421_Cortinas
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
description The K-theory of a polynomial ring R[t] contains the K-theory of R as a summand. For R commutative and containing ℚ, we describe K*(R[t])/K*(R) in terms of Hochschild homology and the cohomology of Kähler differentials for the cdh topology. We use this to address Bass' question, whether Kn(R)=Kn(R[t]) implies Kn(R)=Kn(R[t1,t2]). The answer to this question is affirmative when R is essentially of finite type over the complex numbers, but negative in general. © 2010 The Author(s).
author Cortiñas, Guillermo Horacio
spellingShingle Cortiñas, Guillermo Horacio
Bass' NK groups and cdh-fibrant Hochschild homology
author_facet Cortiñas, Guillermo Horacio
author_sort Cortiñas, Guillermo Horacio
title Bass' NK groups and cdh-fibrant Hochschild homology
title_short Bass' NK groups and cdh-fibrant Hochschild homology
title_full Bass' NK groups and cdh-fibrant Hochschild homology
title_fullStr Bass' NK groups and cdh-fibrant Hochschild homology
title_full_unstemmed Bass' NK groups and cdh-fibrant Hochschild homology
title_sort bass' nk groups and cdh-fibrant hochschild homology
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00209910_v181_n2_p421_Cortinas
http://hdl.handle.net/20.500.12110/paper_00209910_v181_n2_p421_Cortinas
work_keys_str_mv AT cortinasguillermohoracio bassnkgroupsandcdhfibranthochschildhomology
_version_ 1768544536463671296